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1078303131 = 3343928771
BaseRepresentation
bin100000001000101…
…1001100110011011
32210011000110211000
41000101121212123
54202021200011
6254555440043
735502265623
oct10021314633
92704013730
101078303131
11503746114
12261156023
131425250b9
14a32d1883
15649ec356
hex4045999b

1078303131 has 16 divisors (see below), whose sum is σ = 1634638720. Its totient is φ = 702150120.

The previous prime is 1078303129. The next prime is 1078303139. The reversal of 1078303131 is 1313038701.

It is not a de Polignac number, because 1078303131 - 21 = 1078303129 is a prime.

It is a super-2 number, since 2×10783031312 = 2325475284648806322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1078303095 and 1078303104.

It is not an unprimeable number, because it can be changed into a prime (1078303139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 463225 + ... + 465546.

It is an arithmetic number, because the mean of its divisors is an integer number (102164920).

Almost surely, 21078303131 is an apocalyptic number.

1078303131 is a deficient number, since it is larger than the sum of its proper divisors (556335589).

1078303131 is an equidigital number, since it uses as much as digits as its factorization.

1078303131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928823 (or 928817 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1078303131 is about 32837.5262618852. The cubic root of 1078303131 is about 1025.4479520531.

The spelling of 1078303131 in words is "one billion, seventy-eight million, three hundred three thousand, one hundred thirty-one".

Divisors: 1 3 9 27 43 129 387 1161 928771 2786313 8358939 25076817 39937153 119811459 359434377 1078303131